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131111201221120 = 29551215312977
BaseRepresentation
bin11101110011111010110100…
…100100110010101000000000
3122012020002221001011001020001
4131303322310210302220000
5114141111220003033440
61142503353200325344
736421320535223401
oct3563726444625000
9565202831131201
10131111201221120
1138859a4803345a
1212856290013854
13582096bb7bb43
142453b5d1559a8
1510257835d4b9a
hex773eb4932a00

131111201221120 has 40 divisors (see below), whose sum is σ = 314359591058964. Its totient is φ = 52444480487424.

The previous prime is 131111201221081. The next prime is 131111201221129. The reversal of 131111201221120 is 21122102111131.

It can be written as a sum of positive squares in 2 ways, for example, as 119190146795776 + 11921054425344 = 10917424^2 + 3452688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (131111201221129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25607653929 + ... + 25607659048.

Almost surely, 2131111201221120 is an apocalyptic number.

131111201221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131111201221120 is an abundant number, since it is smaller than the sum of its proper divisors (183248389837844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131111201221120 is an frugal number, since it uses more digits than its factorization.

131111201221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51215313000 (or 51215312984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 131111201221120 its reverse (21122102111131), we get a palindrome (152233303332251).

The spelling of 131111201221120 in words is "one hundred thirty-one trillion, one hundred eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 51215312977 102430625954 204861251908 256076564885 409722503816 512153129770 819445007632 1024306259540 1638890015264 2048612519080 3277780030528 4097225038160 6555560061056 8194450076320 13111120122112 16388900152640 26222240244224 32777800305280 65555600610560 131111201221120